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Finding the Fourth Proportional to 116,197, 174,295.50 and 28,645

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Solution

The fourth proportional to 116,197, 174,295.50 and 28,645 is: 42,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,197 : 174,295.50 = 28,645 : x
  2. Step 2: Convert to fraction form
    116,197/174,295.50 = 28,645/x
  3. Step 3: Cross multiply
    116,197x = 174,295.50 × 28,645
  4. Step 4: Simplify right side
    116,197x = 4,992,694,597.50
  5. Step 5: Solve for x
    x = 4,992,694,597.50/116,197
  6. Step 6: Final answer
    x = 42,967.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.